Global uniqueness for inverse parabolic problems with final observation
From MaRDI portal
Publication:4849131
DOI10.1088/0266-5611/11/4/001zbMath0840.35120OpenAlexW2079614139MaRDI QIDQ4849131
Publication date: 4 July 1996
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/11/4/001
Inverse problems for PDEs (35R30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Related Items (26)
Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain ⋮ Inverse heat conduction problems with boundary and final time measured output data ⋮ Drift coefficient inversion problem of Kolmogorov-type equation ⋮ Well-posedness of an inverse problem of Navier–Stokes equations with the final overdetermination ⋮ Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman-Forchheimer equations with the integral overdetermination ⋮ Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach ⋮ Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation ⋮ Uniqueness and stability analysis of final data inverse source problems for evolution equations ⋮ Well-posedness of an inverse problem for two- and three-dimensional convective Brinkman-Forchheimer equations with the final overdetermination ⋮ Identification of the initial temperature from the given temperature data at the left end of a rod ⋮ Reconstruction of initial heat distribution via Green function method ⋮ A unified approach to identifying an unknown spacewise dependent source in a variable coefficient parabolic equation from final and integral overdeterminations ⋮ Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition ⋮ Determination of the unknown source term in a linear parabolic problem from the measured data at the final time. ⋮ A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation ⋮ Identification of an unknown source depending on both time and space variables by a variational method ⋮ Inverse problem of a time-dependent Ginzburg-Landau model for superconductivity with the final overdetermination ⋮ An inverse source problem with single Dirichlet type measured output data for a linear parabolic equation ⋮ Simultaneous reconstruction of the source term and the surface heat transfer coefficient ⋮ The general \textit{a posteriori} truncation method and its application to radiogenic source identification for the helium production-diffusion equation ⋮ Identification of a spacewise dependent heat source ⋮ Conditional well-posedness for an inverse source problem in the diffusion equation using the variational adjoint method ⋮ An inverse problem of determining the shape of rotating body by temperature measurements ⋮ Inverse source problem in a space fractional diffusion equation from the final overdetermination. ⋮ Reconstruction of multiplicative space- and time-dependent sources ⋮ Existence results for inverse problems associated with a nonlinear parabolic equation
This page was built for publication: Global uniqueness for inverse parabolic problems with final observation
